Where is f(x)=g(x)? Justify your answer algebraically.

The fluid force on the sheet metal's top side when submerged horizontally in 7 feet of water is 12441.6 lb.

Given,

The area of the top side of a piece of sheet metal = 4 square feet

The sheet metal is submerged horizontally in 7 feet of water.

Fluid Force on the top side can be found as follows,

Formula used:

Fluid Force = weight-density × volume × depth of fluid

Fluid Force = 62.4 × volume × 7

As the sheet metal is completely submerged, the volume is equal to the area of the sheet metal.

Volume = Area × Depth

= 4 × 7

= 28

Fluid Force = 62.4 × 28 × 7

                   = 12441.6 lb

Thus, the fluid force on the sheet metal's top side when submerged horizontally in 7 feet of water is 12441.6 lb.

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Therefore, the fluid force on the top side is 55838.08 lb.

Given, the area of the top side of a piece of sheet metal is 4 square feet and it is submerged horizontally in 7 feet of water.

The weight-density of water is 62.4 pounds per cubic foot.To find: the fluid force on the top side.Solution:Fluid force formula is given by,

F = ρ * g * V

Where, ρ is the density of the fluidg is the acceleration due to gravityV is the volume of the fluid displaced.Furthermore, the volume of fluid displaced is equal to the volume of the metal sheet submerged in the water.

Therefore,Volume of fluid displaced = Volume of metal sheet submerged in the water = area of metal sheet * depth submerged

Volume of metal sheet submerged in the water = 4 square feet * 7 feet

= 28 cubic feet

Now, calculate the fluid force on the top side of the metal sheet by using the fluid force formula.

F = ρ * g * V

Here, the density of water,

ρ = 62.4 pounds per cubic foot

g = 32.2 ft/s² (the acceleration due to gravity)

V = 28 cubic feet∴

F = 62.4 * 32.2 * 28 lb

= 55838.08 lb

Therefore, the fluid force on the top side is 55838.08 lb.

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Answer:

22 the answer is 22

Step-by-step explanation:

3*9= 27

27-5=22

You have to work backwards

If you put it together you get

22 add 5 you get 27

27 divided by 9 equals 3

I hope this helps!!!!!

Answer:

you are 22

Step-by-step explanation:

i hope im right... if not, sorry ;w;

Answer:

So that it is safe from insects. insects cant open large boxes bottles or a steel can.

Why manufacturers frequently package their products in tall boxes, bottles, or cans is: To protect the product.

Food packaging is important as it help to protect a product and to as well prevent the product from damaging when been shipped from the seller to buyer.

Manufacturer or producer tend to package their product  so as to keep the product safe and to as improve the product Shelf Life etc.

Therefore why manufacturers frequently package their products in tall boxes, bottles, or cans is: To protect the product.

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Answer:

The original price drops by 15%.

Step-by-step explanation:

What was the drop in price?  To answer that, subtract $21.25 from $25, which results in $3.75.

Now compare $3.75 to the original price, $25, through division, as follows:

   $3.75

-------------- * 100% = 15%

     $25

The original price drops by 15%.

Answer:

The distance covered is 5200 feet.

Step-by-step explanation:

From the starting stone to the last the distance between them is of 2 feet. There are 50 stones and the distance between the crate and first stone is 3 feet.

He walked to the first stone 3 feet and then came back 3 feet and that totals 6 feet. Again he started moving towards the first stone and then the second stone 3+2= 5

The first stone is

2(3) + 2(1) + 2(2) + 2(3)+.......2( 48) +2(49).

The first  term is 6 and the last term is 100 which gives a sum of 6+ 98= 104

Similarly the second term is 8 and the second last is 96  which gives a total of 96+ 8= 104

As there are 50 stones  the total distance would be

104* 50= 5200

As Alex went and came back the distance would be 5200 feet.

Answer:

(2,-2)

Step-by-step explanation:

\(3x-y =3(2) -(-2)= 6 +2 = 8\)

V to Inlogic

1. ABCD is a parallelogram

2. AB II CD

3. D is the midpoint of BE

4. AD II BC

5. ∠BAD = ∠CDE

6. AB = CD

7. BD = CE

8. AABD ACDE

A parallelogram is a four-sided shape with two pairs of parallel sides. Its opposite sides are equal in length, and its opposite angles are also equal. Its interior angles add up to 360 degrees. The defining property of a parallelogram is that both pairs of its opposite sides are parallel, meaning they never intersect. This is in contrast to a rectangle, which has four right angles and four sides of equal length, but its opposite sides are not parallel. A parallelogram is also different from a rhombus, which has all sides of equal length, but its opposite sides are not parallel.

Proof:  1. Given: ABCD is a parallelogram

2. Given: AB II CD

3. Given: D is the midpoint of BE

4. Since D is the midpoint of BE, BD = CE

5. Since ABCD is a parallelogram, AD II BC

6. Since AB II CD and AD II BC, ∠BAD = ∠CDE [Angle-Angle Postulate]

7. Since AB II CD and BD = CE, AB = CD [Side-Side-Side Postulate]

8. Therefore, AABD ACDE [Consecutive Angles Postulate]

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According to the question the Statement and the Reasons is given below:

A statement is an assertion or declaration made by a person or group. It is a fact, opinion, or belief that is expressed as a sentence or short phrase. Statements are typically used to communicate ideas, opinions, facts, or beliefs. They can be used to make an argument, express a point of view, or inform someone of something. Statements can be found in a variety of contexts, including speeches, reports, documents, interviews, and conversations.

      Statement                      |                 Reasons.

1. ABCD, AB|CD                    | Given

2. D is the midpoint of BE    | Given

3. AD = DB                            | Definition of midpoint

4. AB + BD = AE                   | Segment addition postulate

5. AB + AD = AE                  | Substitution 3

6. AABD = ACDE                 | Segment addition postulate. Subtraction                
                                              postulate. Substitution 5.

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I don't know helpp me with the mathhh pleaseee

Step-by-step explanation:

Answer:

to get your answer you have to. Then after that, and finally

Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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divide $4.50 by 5 .......

The amount that Stephen owed after 2 weeks is $100.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, Stephan borrowed $125 to buy an electric scooter and the function f(x) = 125 - 12.5x

can be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan.

The amount after 2 weeks will be:

f(x) = 125 - 12.5x

= 125 - 12.5(2)

= 125 - 25

= $100

The amount is $100.

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Complete question

Stephan borrowed $125 to buy an electric scooter. The function f(x) = 125 - 12.5x

can be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan. What is the amount owed after 2 weeks?

The difference in the amount paid by Cathy and Steven is $4000.

Simple interest is when the interest that is paid on the loan of a customer is a linear function of the loan amount, interest rate and the duration of the loan.

Simple interest = amount borrowed x interest rate x time

Simple interest of Cathy = $20,000 x 0.052 x 10 = $10,400

Simple interest of Steven = $20,000 x 0.048 x 15 = $14,400

Difference in interest = $14,400 - $10,400 = $4000

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Answer:

y=5

Step-by-step explanation:

The curve stops at the y value of 6. And we need a horizontal line for the asymptote, so we don't need an x value only a y-value. So the y-value is 5 on the y-axis, which means your equation will be y=5.

-Hope this helped

Answer:

true

Step-by-step explanation:

because

3^7 is 2187

7^3 is 343

Answer:

True

Step-by-step explanation:

It's true 3^7=2187

and 7^3=343

Answer:

72m

Step-by-step explanation:

since 5cm is 6m, just take 5 and make it 6, so 10cm is 12m and 5cm is 6m

multiply, and you get the answer

Answer:

5/7 x 1203=6015/7=859.28

Step-by-step explanation:

i know best one.keep in mind.

Answer:

Rational

Step-by-step explanation:

Quick Easy Eliminations:

We can get rid of positive integer as the sum of these roots is a decimal which is not a whole number. Hence, we can eliminate 2 options, C. Positive integer and D. Whole Number.

First solve:

6√14 + √14

= 7√14 (Decimal form: 26.191602)

What we need is the decimal form in order to determine if it's rational or irrational.

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Rational

Answer:

2/9

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

They are both using the same line so yeah

Step-by-step explanation:

I agree with Trevon because the number and letters are used in different forms but can probably be solved in the same way

Answer:

60

Step-by-step explanation:

x²=36×(64+36)

x=√3600

x=60

Answer:

v = 12121 m per week.

Step-by-step explanation:

Given that,

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s = \(1.65\times 10^{-6}\ week\)

Speed = distance/time

So,

\(v=\dfrac{0.02\ m}{1.65\times 10^{-6}\ week}\\\\v=12121.21\ m/week \\\\or\\\\v=12121\ m/week\)

So, the speed of the object is 12121 m per week.

Answer:

1728 meters per week, the answer of 1212 was wrong on my test.

The correct answer is ∫∫D 9cos(9(v-u)/2) dudv = 2∫[u=-10 to u=1] ∫[v=u to v=10] 9cos(9(v-u)/2) dvdv

To evaluate the integral using the given transformation, we need to find the Jacobian determinant of the transformation and then apply the change of variables.

The transformation is given by:

u = y - x

v = y + x

To find the Jacobian determinant, we calculate the partial derivatives of u and v with respect to x and y:

∂u/∂x = -1

∂u/∂y = 1

∂v/∂x = 1

∂v/∂y = 1

The Jacobian determinant is the determinant of the matrix of these partial derivatives:

|∂u/∂x ∂u/∂y|

|∂v/∂x ∂v/∂y|

Jacobian determinant = | -1 1 |

| 1 1 |

Taking the determinant:

Jacobian determinant = (-1)(1) - (1)(1) = -2

Now, we can rewrite the integral using the variables u and v:

∫∫R 9cos(9y) dA = ∫∫D 9cos(9(v-u)/2) |J| dudv

where D is the transformed region corresponding to R, and |J| is the absolute value of the Jacobian determinant.

The region D is determined by the transformation of the vertices of R:

(9, 0) -> (0, 9)

(10, 0) -> (1, 10)

(0, 10) -> (-10, 10)

(0, 9) -> (-9, 9)

Therefore, the integral becomes:

∫∫D 9cos(9(v-u)/2) |J| dudv = ∫∫D 9cos(9(v-u)/2) |-2| dudv

= 2∫∫D 9cos(9(v-u)/2) dudv

Now, we evaluate the integral over the transformed region D, which is a trapezoid:

∫∫D 9cos(9(v-u)/2) dudv = 2∫[u=-10 to u=1] ∫[v=u to v=10] 9cos(9(v-u)/2) dvdv

This is the final form of the integral that can be evaluated numerically.

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Answer:

We can use the fact that tan(-θ) = -tan(θ) to find the value of tan(-θ) from the given values of cos(θ) and sin(θ). First, we can use the Pythagorean identity to find the value of cos²(θ) + sin²(θ):

cos²(θ) + sin²(θ) = (0.8)² + (0.3)² = 0.64 + 0.09 = 0.73

Now, we can use the fact that cos²(θ) + sin²(θ) = 1 to find the value of cos(-θ) and sin(-θ):

cos(-θ) = cos(θ) = 0.8

sin(-θ) = -sin(θ) = -0.3

Finally, we can use the definition of tangent as the ratio of sine to cosine to find the value of tan(-θ):

tan(-θ) = -tan(θ) = -(sin(θ) / cos(θ)) = -0.3 / 0.8 = -0.375

Therefore, tan(-θ) = -0.375.

Step-by-step explanation:

Answer:

For every gallon of gas added to the tank, the buyer is charged $2.35

The constant of proportionality of the given equation y = 2.35x will be 2.35.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

Let's x ∝ y

Then x = ky where k will be constant of proportional.

k = x/y which means when two variables are divided which were in proportion it will create a constant proportional.

So,

y /x = 2.35 will be constant of propotional.

Hence "The constant of proportionality of the given equation y = 2.35x will be 2.35".

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Answer:

X=28

Step-by-step explanation:

4x+248=360

112=4x

x=28

Answer:

28

Step-by-step explanation: